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Chapter 2: Q R2.9. (page 148)

Assessing Normality Catherine and Ana gave an online reflex test to33 varsity

athletes at their school. The following Normal probability plot displays the data on reaction times (in milliseconds) for these students. Is the distribution of reaction times for these athletes approximately Normal? Why or why not?

Short Answer

Expert verified

Not approximately normal.

Step by step solution

01

Given information

The figure is:

02

Explanation

Around a reaction time of 200ms, there is a considerable curvature in the normal probability lot, indicating that the pattern in the Normal probability plot is not substantially linear. This suggests, however, that the distribution is not approximately normal. Because the pattern is concave up on the left side of the normal probability plot, the distribution seems to be slightly skewed to the right.

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Most popular questions from this chapter

Multiple choice: Select the best answer. Mark receives a score report detailing his performance on a statewide test. On the math section, Mark earned a raw score of 39, which placed him at the 68th percentile. This means that

(a) Mark did better than about 39% of the students who took the test.

(b) Mark did worse than about 39% of the students who took the test.

(c) Mark did better than about 68%of the students who took the test.

(d) Mark did worse than about 68% of the students who took the test.

(e) Mark got fewer than half of the questions correct on this test.

Potato chips Refer to Exercise 47 About what percent of 9-ounce bags of

this brand of potato chips weigh less than the advertised 9 ounces? Is this likely to pose a problem for the company that produces these chips?

Shoes How many pairs of shoes does a typical teenage boy own? To find out,

two AP® Statistics students surveyed a random sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Here is a dot-plot of the data:

a. Find the percentile for Jackson, who reported owning 22 pairs of shoes.

b. Raul’s reported number of pairs of shoes is at the 45th percentile of the distribution. Interpret this value. How many pairs of shoes does Raul own?

Outliers The percent of the observations that are classified as outliers by the 1.5×IQRrule is the same in any Normal distribution. What is this percent? Show your method clearly.

Used cars, cheap! Refer to Exercise 24Suppose each car’s price is reduced by 10% instead of $500What effect will this discount have on each of the following characteristics of the resulting price distribution?

a. Shape

b. Median

c. Interquartile range (IQR)
See all solutions

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